Trefftz indirect method applied to nonlinear potential problems

DOI10.1016/S0955-7997(00)00023-0zbMath1005.80009MaRDI QIDQ1595071

Gnana Ramdev Kotamraju, Maruthi Ram Akella

Publication date: 24 February 2003

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

zbMATH Keywords

boundary value problemsnonlinear potential problemsTrefftz methodstabilized continuation

Mathematics Subject Classification ID

Plates (74K20) Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods applied to problems in thermodynamics and heat transfer (80M15)

Related Items

The MFS as a basis for the PIM or the HAM -- comparison of numerical methods, Models of corner and crack singularity of linear elastostatics and their numerical solutions, Combined Trefftz methods of particular and fundamental solutions for corner and crack singularity of linear elastostatics, Moving pseudo-boundary method of fundamental solutions for nonlinear potential problems, Perturbation technique and method of fundamental solution to solve nonlinear Poisson problems, Hybrid Trefftz polygonal elements for heat conduction problems with inclusions/voids, The method of fundamental solutions for scattering and radiation problems., Applications of the Trefftz method to the anti-plane fracture of 1D hexagonal piezoelectric quasicrystals, Heat transfer for nonlinear boundary conditions involving radiation for constant and temperature related thermal conductivity material using the MWLS method

Cites Work

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• Direct solution procedure for solution of harmonic problems using complete, non-singular, Trefftz functions
• Stabilized continuation method for solving optimal control problems
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• Trefftz method: An overview
• Boundary-type sensitivity analysis scheme based on indirect Trefftz formulation