Panel clustering method and restriction matrices for symmetric Galerkin BEM

DOI10.1007/s11075-005-8136-xzbMath1084.65124OpenAlexW2083944137MaRDI QIDQ2583231

Alessandra Aimi, Mauro Diligenti, F. Lunardini

Publication date: 13 January 2006

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-005-8136-x

zbMATH Keywords

algorithmsnumerical resultsLaplace equationsymmetric Galerkin boundary element methodcomparisonsNavier equationrestriction matrix

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (4)

Simulation of micro-seismicity in response to injection/production in large-scale fracture networks using the fast multipole displacement discontinuity method (FMDDM) ⋮ Restriction matrices for numerically exploiting symmetry ⋮ Fast boundary-domain integral method for unsteady convection-diffusion equation with variable diffusivity using the modified Helmholtz fundamental solution ⋮ Restriction matrices in space-time energetic BEM

Uses Software

• Matlab
• Madpack

Cites Work

• Numerical integration in 3D Galerkin BEM solution of HBIEs
• On the h-, p- and h-p versions of the boundary element method. - Numerical results
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• Mosaic-skeleton approximations
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• Projection operators for symmetric regions
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• On the efficient use of the Galerkin-method to solve Fredholm integral equations
• Integral evaluation in the BEM solution of (hyper)singular integral equations. 2D problems on polygonal domains
• Adaptive low-rank approximation of collocation matrices
• Application of the adaptive cross approximation technique for the coupled BE-FE solution of symmetric electromagnetic problems
• Restriction matrices for SGBEM applications
• Groups of congruences and restriction matrices
• Variable order panel clustering
• Approximation of boundary element matrices
• Restriction matrices for numerically exploiting symmetry
• Strong ellipticity of boundary integral operators.
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• Linear operators that areT-invariant with respect to a group of homeomorphisms
• A galerkin symmetric boundary-element method in elasticity: Formulation and implementation
• Using Symmetries and Antisymmetries to Analyze a Parallel Multigrid Algorithm: The Elliptic Boundary Value Problem Case
• Boundary Value Problems with Symmetry and Their Approximation by Finite Elements
• Exploiting partial or complete geometrical symmetry in 3D symmetric Galerkin indirect BEM formulations
• Multilevel approximation of boundary integral operators
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