Publications

Results 1–50 of 62
Skip to search filters

Sierra/SD - Theory Manual (V.5.10)

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

Sierra/SD provides a massively parallel implementation of structural dynamics finite element analysis, required for high fidelity, validated models used in modal, vibration, static and shock analysis of structural systems. This manual describes the theory behind many of the constructs in Sierra/SD. For a more detailed description of how to use Sierra/SD, we refer the reader to User's Manual. Many of the constructs in Sierra/SD are pulled directly from published material. Where possible, these materials are referenced herein. However, certain functions in Sierra/SD are specific to our implementation. We try to be far more complete in those areas. The theory manual was developed from several sources including general notes, a programmer_notes manual, the user's notes and of course the material in the open literature.

More Details

Sierra/SD - User's Manual - 5.10

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

Sierra/SD provides a massively parallel implementation of structural dynamics finite element analysis, required for high-fidelity, validated models used in modal, vibration, static and shock analysis of weapons systems. This document provides a user’s guide to the input for Sierra/SD. Details of input specifications for the different solution types, output options, element types and parameters are included. The appendices contain detailed examples, and instructions for running the software on parallel platforms.

More Details

Sierra/SD - How To Manual - 5.10

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Joshi, Sidharth S.; Beale, Dagny; Chen, Mark J.; Pepe, Justin P.

The How To Manual supplements the User’s Manual and the Theory Manual. The goal of the How To Manual is to reduce learning time for complex end to end analyses. These documents are intended to be used together. See the User’s Manual for a complete list of the options for a solution case. All the examples are part of the Sierra/SD test suite. Each runs as is. The organization is similar to the other documents: How to run, Commands, Solution cases, Materials, Elements, Boundary conditions, and then Contact. The table of contents and index are indispensable. The Geometric Rigid Body Modes section is shared with the Users Manual.

More Details

Sierra/SD: Verification Test Manual - 5.10

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

This document presents tests from the Sierra Structural Mechanics verification test suite. Each of these tests is run nightly with the Sierra/SD code suite and the results of the test checked versus the correct analytic result. For each of the tests presented in this document the test setup, derivation of the analytic solution, and comparison of the Sierra/SD code results to the analytic solution is provided. This document can be used to confirm that a given code capability is verified or referenced as a compilation of example problems.

More Details

Sierra/SD - Theory Manual - 5.8

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

Sierra/SD provides a massively parallel implementation of structural dynamics finite element analysis, required for high fidelity, validated models used in modal, vibration, static and shock analysis of structural systems. This manual describes the theory behind many of the constructs in Sierra/SD. For a more detailed description of how to use Sierra/SD, we refer the reader to User's Manual. Many of the constructs in Sierra/SD are pulled directly from published material. Where possible, these materials are referenced herein. However, certain functions in Sierra/SD are specific to our implementation. We try to be far more complete in those areas. The theory manual was developed from several sources including general notes, a programmer_notes manual, the user's notes and of course the material in the open literature. This page intentionally left blank.

More Details

Sierra/SD - User's Manual - 5.8

Beale, Dagny; Bunting, Gregory B.; Chen, Mark J.; Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Joshi, Sidharth S.; Lindsay, Payton L.; Plews, Julia A.; Stevens, B.L.; Vo, Johnathan V.

Sierra/SD provides a massively parallel implementation of structural dynamics finite element analysis, required for high-fidelity, validated models used in modal, vibration, static and shock analysis of weapons systems. This document provides a user's guide to the input for Sierra/SD. Details of input specifications for the different solution types, output options, element types and parameters are included. The appendices contain detailed examples, and instructions for running the software on parallel platforms.

More Details

Sierra/SD - How To Manual - 5.8

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

The How To Manual supplements the User’s Manual and the Theory Manual. The goal of the How To Manual is to reduce learning time for complex end to end analyses. These documents are intended to be used together. See the User’s Manual for a complete list of the options for a solution case. All the examples are part of the Sierra/SD test suite. Each runs as is. The organization is similar to the other documents: How to run, Commands, Solution cases, Materials, Elements, Boundary conditions, and then Contact. The table of contents and index are indispensable. The Geometric Rigid Body Modes section is shared with the Users Manual.

More Details

Sierra/SD - Verification Test Manual - 5.8

Beale, Dagny; Bunting, Gregory B.; Chen, Mark J.; Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Joshi, Sidharth S.; Lindsay, Payton L.; Plews, Julia A.; Stevens, B.L.; Vo, Johnathan V.

This document presents tests from the Sierra Structural Mechanics verification test suite. Each of these tests is run nightly with the Sierra/SD code suite and the results of the test checked versus the correct analytic result. For each of the tests presented in this document the test setup, derivation of the analytic solution, and comparison of the Sierra/SD code results to the analytic solution is provided. This document can be used to confirm that a given code capability is verified or referenced as a compilation of example problems.

More Details

Sierra/SD - User's Manual - 5.6

Beale, Dagny; Bunting, Gregory B.; Chen, Mark J.; Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Joshi, Sidharth S.; Lindsay, Payton L.; Plews, Julia A.; Stevens, B.L.; Vo, Johnathan V.

Sierra/SD provides a massively parallel implementation of structural dynamics finite element analysis, required for high-fidelity, validated models used in modal, vibration, static and shock analysis of weapons systems. This document provides a user's guide to the input for Sierra/SD. Details of input specifications for the different solution types, output options, element types and parameters are included. The appendices contain detailed examples, and instructions for running the software on parallel platforms.

More Details

Sierra/SD - Verification Test Manual - 5.6

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

This document presents tests from the Sierra Structural Mechanics verification test suite. Each of these tests is run nightly with the Sierra/SD code suite and the results of the test checked versus the correct analytic result. For each of the tests presented in this document the test setup, derivation of the analytic solution, and comparison of the Sierra/SD code results to the analytic solution is provided. This document can be used to confirm that a given code capability is verified or referenced as a compilation of example problems.

More Details

Sierra/SD - Theory Manual - 5.6

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

Sierra/SD provides a massively parallel implementation of structural dynamics finite element analysis, required for high fidelity, validated models used in modal, vibration, static and shock analysis of structural systems. This manual describes the theory behind many of the constructs in Sierra/SD. For a more detailed description of how to use Sierra/SD, we refer the reader to User's Manual. Many of the constructs in Sierra/SD are pulled directly from published material. Where possible, these materials are referenced herein. However, certain functions in Sierra/SD are specific to our implementation. We try to be far more complete in those areas. The theory manual was developed from several sources including general notes, a programmer_notes manual, the user's notes and of course the material in the open literature.

More Details

Sierra/SD - How To Manual - 5.6

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

The How To Manual supplements the User’s Manual and the Theory Manual. The goal of the How To Manual is to reduce learning time for complex end to end analyses. These documents are intended to be used together. See the User’s Manual for a complete list of the options for a solution case. All the examples are part of the Sierra/SD test suite. Each runs as is. The organization is similar to the other documents: How to run, Commands, Solution cases, Materials, Elements, Boundary conditions, and then Contact. The table of contents and index are indispensable. The Geometric Rigid Body Modes section is shared with the Users Manual.

More Details

Sierra/SD - Verification Test Manual - 5.4

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

This document presents tests from the Sierra Structural Mechanics verification test suite. Each of these tests is run nightly with the Sierra/SD code suite and the results of the test checked versus the correct analytic result. For each of the tests presented in this document the test setup, derivation of the analytic solution, and comparison of the Sierra/SD code results to the analytic solution is provided. This document can be used to confirm that a given code capability is verified or referenced as a compilation of example problems.

More Details

Sierra/SD - User's Manual - 5.4

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

Sierra/SD provides a massively parallel implementation of structural dynamics finite element analysis, required for high-fidelity, validated models used in modal, vibration, static and shock analysis of weapons systems. This document provides a user's guide to the input for Sierra/SD. Details of input specifications for the different solution types, output options, element types and parameters are included. The appendices contain detailed examples, and instructions for running the software on parallel platforms.

More Details

Sierra/SD - Theory Manual - 5.4

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

Sierra/SD provides a massively parallel implementation of structural dynamics finite element analysis, required for high fidelity, validated models used in modal, vibration, static and shock analysis of structural systems. This manual describes the theory behind many of the constructs in Sierra/SD. For a more detailed description of how to use Sierra/SD, we refer the reader to User's Manual. Many of the constructs in Sierra/SD are pulled directly from published material. Where possible, these materials are referenced herein. However, certain functions in Sierra/SD are specific to our implementation. We try to be far more complete in those areas. The theory manual was developed from several sources including general notes, a programmer_notes manual, the user's notes and of course the material in the open literature.

More Details

Sierra/SD - How To Manual - 5.4

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

The How To Manual supplements the User’s Manual and the Theory Manual. The goal of the How To Manual is to reduce learning time for complex end to end analyses. These documents are intended to be used together. See the User’s Manual for a complete list of the options for a solution case. All the examples are part of the Sierra/SD test suite. Each runs as is. The organization is similar to the other documents: How to run, Commands, Solution cases, Materials, Elements, Boundary conditions, and then Contact. The table of contents and index are indispensable. The Geometric Rigid Body Modes section is shared with the Users Manual.

More Details

Sierra/SD - User's Manual (V.5.2)

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Hardesty, Sean H.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.

Sierra/SD provides a massively parallel implementation of structural dynamics finite element analysis, required for high-fidelity, validated models used in modal, vibration, static and shock analysis of weapons systems. This document provides a user’s guide to the input for Sierra/SD. Details of input specifications for the different solution types, output options, element types and parameters are included. The appendices contain detailed examples, and instructions for running the software on parallel platforms.

More Details

Sierra/SD - Theory Manual - 5.2

Stevens, B.L.; Crane, Nathan K.; Lindsay, Payton L.; Day, David M.; Walsh, Timothy W.; Dohrmann, Clark R.; Hardesty, Sean H.; Bunting, Gregory B.; Smith, Chandler B.

Sierra/SD provides a massively parallel implementation of structural dynamics finite element analysis, required for high fidelity, validated models used in modal, vibration, static and shock analysis of structural systems. This manual describes the theory behind many of the constructs in Sierra/SD. For a more detailed description of how to use Sierra/SD, we refer the reader to User's Manual. Many of the constructs in Sierra/SD are pulled directly from published material. Where possible, these materials are referenced herein. However, certain functions in Sierra/SD are specific to our implementation. We try to be far more complete in those areas. The theory manual was developed from several sources including general notes, a programmer_notes manual, the user's notes and of course the material in the open literature.

More Details

Sierra/SD - How To Manual - 5.2

Stevens, B.L.; Crane, Nathan K.; Lindsay, Payton L.; Hardesty, Sean H.; Day, David M.; Dohrmann, Clark R.; Bunting, Gregory B.; Walsh, Timothy W.

The How To Manual supplements the User’s Manual and the Theory Manual. The goal of the How To Manual is to reduce learning time for complex end to end analyses. These documents are intended to be used together. See the User’s Manual for a complete list of the options for a solution case. All the examples are part of the Sierra/SD test suite. Each runs as is. The organization is similar to the other documents: How to run, Commands, Solution cases, Materials, Elements, Boundary conditions, and then Contact. The table of contents and index are indispensable. The Geometric Rigid Body Modes section is shared with the Users Manual.

More Details

Sierra/SD - Verification Test Manual - 5.2

Stevens, B.L.; Crane, Nathan K.; Lindsay, Payton L.; Day, David M.; Dohrmann, Clark R.; Hardesty, Sean H.; Bunting, Gregory B.; Walsh, Timothy W.; Smith, Chandler B.

This document presents tests from the Sierra Structural Mechanics verification test suite. Each of these tests is run nightly with the Sierra/SD code suite and the results of the test checked versus the correct analytic result. For each of the tests presented in this document the test setup, derivation of the analytic solution, and comparison of the Sierra/SD code results to the analytic solution is provided. This document can be used to confirm that a given code capability is verified or referenced as a compilation of example problems.

More Details

Sierra/SD - User's Manual

Bunting, Gregory B.; Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Ferri, Brian A.; Hardesty, Sean H.; Lindsay, Payton L.; Miller, Scott T.; Stevens, B.L.; Walsh, Timothy W.

Sierra/SD provides a massively parallel implementation of structural dynamics finite element analysis, required for high-fidelity, validated models used in modal, vibration, static and shock analysis of weapons systems. This document provides a user’s guide to the input for Sierra/SD. Details of input specifications for the different solution types, output options, element types and parameters are included. The appendices contain detailed examples, and instructions for running the software on parallel platforms.

More Details

Sierra/SD - Theory Manual

Bunting, Gregory B.; Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Ferri, Brian A.; Hardesty, Sean H.; Lindsay, Payton L.; Miller, Scott T.; Stevens, B.L.; Walsh, Timothy W.

Sierra/SD provides a massively parallel implementation of structural dynamics finite element analysis, required for high fidelity, validated models used in modal, vibration, static and shock analysis of structural systems. This manual describes the theory behind many of the constructs in Sierra/SD. For a more detailed description of how to use Sierra/SD, we refer the reader to User’s Manual. Many of the constructs in Sierra/SD are pulled directly from published material. Where possible, these materials are referenced herein. However, certain functions in Sierra/SD are specific to our implementation. We try to be far more complete in those areas. The theory manual was developed from several sources including general notes, a programmer_notes manual, the user’s notes and of course the material in the open literature.

More Details

Sierra/SD – Verification Test Manual – 5.0

Bunting, Gregory B.; Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Ferri, Brian A.; Hardesty, Sean H.; Lindsay, Payton L.; Miller, Scott T.; Stevens, B.L.; Walsh, Timothy W.

This document presents tests from the Sierra Structural Mechanics verification test suite. Each of these tests is run nightly with the Sierra/SD code suite and the results of the test checked versus the correct analytic result. For each of the tests presented in this document the test setup, derivation of the analytic solution, and comparison of the Sierra/SD code results to the analytic solution is provided. This document can be used to confirm that a given code capability is verified or referenced as a compilation of example problems.

More Details

Sierra/SD--User's Manual - 4.58

Bunting, Gregory B.; Chen, Mark J.; Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Hardesty, Sean H.; Lindsay, Payton L.; Stevens, B.L.; Flicek, Robert C.; Munday, Lynn B.

Sierra/SD provides a massively parallel implementation of structural dynamics finite element analysis, required for high-fidelity, validated models used in modal, vibration, static and shock analysis of weapons systems. This document provides a user's guide to the input for Sierra/SD . Details of input specifications for the different solution types, output options, element types and parameters are included. The appendices contain detailed examples, and instructions for running the software on parallel platforms.

More Details

Sierra/SD-- How To Manual - 4.58

Bunting, Gregory B.; Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Ferri, Brian A.; Hardesty, Sean H.; Lindsay, Payton L.; Miller, Scott T.; Stevens, B.L.; Walsh, Timothy W.

The “how to” document is designed to help walk the analyst through difficult aspects of software usage. It should supplement both the User’s manual and the Theory document, by providing examples and detailed discussion that reduce learning time for complex set ups. These documents are intended to be used together. We will not formally list all parameters for an input here – see the User’s manual for this. All the examples in the “How To” document are part of the Sierra/SD test suite, and each will run with no modification. The nature of this document casts together a number of rather unrelated procedures. Grouping them is difficult. Please try to use the table of contents and the index as a guide in finding the analyses of interest.

More Details

Sierra/SD–Verification Test Manual - 4.58

Bunting, Gregory B.; Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Ferri, Brian A.; Hardesty, Sean H.; Lindsay, Payton L.; Miller, Scott T.; Stevens, B.L.; Walsh, Timothy W.

This document presents tests from the Sierra Structural Mechanics verification test suite. Each of these tests is run nightly with the Sierra/SD code suite and the results of the test checked versus the correct analytic result. For each of the tests presented in this document the test setup, derivation of the analytic solution, and comparison of the Sierra/SD code results to the analytic solution is provided. This document can be used to confirm that a given code capability is verified or referenced as a compilation of example problems.

More Details

Sierra/SD - Theory Manual - 4.56

Bunting, Gregory B.; Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Flicek, Robert C.; Hardesty, Sean H.; Lindsay, Payton L.; Stevens, B.L.

Sierra/SD provides a massively parallel implementation of structural dynamics finite element analysis, required for high fidelity, validated models used in modal, vibration, static and shock analysis of structural systems. This manual describes the theory behind many of the constructs in Sierra/SD. For a more detailed description of how to use Sierra/SD, we refer the reader to Sierra/SD, User's Notes. Many of the constructs in Sierra/SD are pulled directly from published material. Where possible, these materials are referenced herein. However, certain functions in Sierra/SD are specific to our implementation. We try to be far more complete in those areas. The theory manual was developed from several sources including general notes, a programmer notes manual, the user's notes and of course the material in the open literature.

More Details

Establishing an RMS von Mises stress error bound for random vibration analysis

Conference Proceedings of the Society for Experimental Mechanics Series

Day, David M.; Khan, Moheimin Y.; Ross, Michael R.; Stevens, B.L.

The root mean square (RMS) von Mises stress is a criterion used for assessing the reliability of structures subject to stationary random loading. This work investigates error in RMS von Mises stress and its relationship to the error in acceleration for random vibration analysis. First, a theoretical development of stress-acceleration error is introduced for a simplified problem based on modal stress analysis. Using results from the example as a basis, a similar error relationship is determined for random vibration problems. Finite element analyses of test structures subject to an input acceleration auto-spectral density are performed and results from parametric studies are used to determine error. For a given error in acceleration, a relationship to the error in RMS von Mises stress is established. The resulting relation is used to calculate a bound on the RMS von Mises stress based on the computed accelerations. This error bound is useful in vibration analysis, especially where uncertainty and variability must be thoroughly considered.

More Details

Sierra Structural Dynamics Verification Test Manual4.48 release

Crane, Nathan K.; Day, David M.; Munday, Lynn B.; Bunting, Gregory B.; Miller, Scott T.; Lindsay, Payton L.

This document presents tests from the Sierra Structural Mechanics verification test suite. Each of these tests is run nightly with the Sierra/SD code suite and the results of the test checked versus the correct analytic result. For each of the tests presented in this document the test setup, derivation of the analytic solution, and comparison of the Sierra/SD code results to the analytic solution is provided. This document can be used to confirm that a given code capability is verified or referenced as a compilation of example problems.

More Details

Numerical experiments on unstructured PIC stability

Day, David M.

Particle-In-Cell (PIC) is a method for plasmas simulation. Particles are pushed with Verlet time integration. Fields are modeled using finite differences on a tensor product mesh (cells). The Unstructured PIC methods studied here use instead finite element discretizations on unstructured (simplicial) meshes. PIC is constrained by stability limits (upper bounds) on mesh and time step sizes. Numerical evidence (2D) and analysis will be presented showing that similar bounds constrain unstructured PIC.

More Details

Summary of the CSRI Workshop on Combinatorial Algebraic Topology (CAT): Software, Applications, & Algorithms

Mitchell, Scott A.; Bennett, Janine C.; Day, David M.

This report summarizes the Combinatorial Algebraic Topology: software, applications & algorithms workshop (CAT Workshop). The workshop was sponsored by the Computer Science Research Institute of Sandia National Laboratories. It was organized by CSRI staff members Scott Mitchell and Shawn Martin. It was held in Santa Fe, New Mexico, August 29-30. The CAT Workshop website has links to some of the talk slides and other information, http://www.cs.sandia.gov/CSRI/Workshops/2009/CAT/index.html. The purpose of the report is to summarize the discussions and recap the sessions. There is a special emphasis on technical areas that are ripe for further exploration, and the plans for follow-up amongst the workshop participants. The intended audiences are the workshop participants, other researchers in the area, and the workshop sponsors.

More Details

Analysis and computation of a least-squares method for consistent mesh tying

Journal of Computational and Applied Mathematics

Day, David M.; Bochev, Pavel

In the finite element method, a standard approach to mesh tying is to apply Lagrange multipliers. If the interface is curved, however, discretization generally leads to adjoining surfaces that do not coincide spatially. Straightforward Lagrange multiplier methods lead to discrete formulations failing a first-order patch test [T.A. Laursen, M.W. Heinstein, Consistent mesh-tying methods for topologically distinct discretized surfaces in non-linear solid mechanics, Internat. J. Numer. Methods Eng. 57 (2003) 1197-1242]. This paper presents a theoretical and computational study of a least-squares method for mesh tying [P. Bochev, D.M. Day, A least-squares method for consistent mesh tying, Internat. J. Numer. Anal. Modeling 4 (2007) 342-352], applied to the partial differential equation - ∇2 φ + α φ = f. We prove optimal convergence rates for domains represented as overlapping subdomains and show that the least-squares method passes a patch test of the order of the finite element space by construction. To apply the method to subdomain configurations with gaps and overlaps we use interface perturbations to eliminate the gaps. Theoretical error estimates are illustrated by numerical experiments. © 2007 Elsevier B.V. All rights reserved.

More Details
Results 1–50 of 62
Results 1–50 of 62