Stability analysis for the penalty plus hybrid and the direct Trefftz methods for singularity problems

DOI10.1016/j.enganabound.2006.04.005zbMath1195.65153OpenAlexW2087918482WikidataQ58222905 ScholiaQ58222905MaRDI QIDQ1958284

Jin Huang, Leevan Ling, Hung-Tsai Huang, Zi Cai Li

Publication date: 28 September 2010

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2006.04.005

zbMATH Keywords

stability analysiscondition numbersingular problemTrefftz methodeffective condition numberMotz's problemLagrange multiplier techniquepenalty plus hybrid techniquethe direct Trefftz method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (7)

Effectiveness of nonsingular solutions of the boundary problems based on Trefftz methods ⋮ Stability analysis via condition number and effective condition number for the first kind boundary integral equations by advanced quadrature methods, a comparison ⋮ Hybrid and collocation Trefftz methods for traction boundary conditions in linear elastostatics ⋮ An effectively modified direct Trefftz method for 2D potential problems considering the domain's characteristic length ⋮ Study on effective condition number for collocation methods ⋮ Stability analysis of Trefftz methods for the stick-slip problem ⋮ Effective condition number of the Hermite finite element methods for biharmonic equations

Uses Software

• mctoolbox

Cites Work

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• The method of auxiliary mapping for the finite element solutions of elliptic problems containing singularities
• The effective condition number applied to error analysis of certain boundary collocation methods
• The conditioning of some numerical methods for first kind boundary integral equations
• Effective condition number and superconvergence of the Trefftz method coupled with high-order FEM for singularity problems
• Special boundary approximation methods for Laplace equation problems with boundary singularities--applications to the Motz problem
• The finite element method with Lagrangian multipliers
• Highly accurate solutions of Motz's and the cracked beam problems
• Boundary Methods for Solving Elliptic Problems with Singularities and Interfaces
• Effectively Well-Conditioned Linear Systems
• The Lack of Influence of the Right-Hand Side on the Accuracy of Linear System Solution
• The treatment of singularities of partial differential equations by relaxation methods
• Trefftz method: An overview
• Trefftz direct method

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