Penalty-combined method and applications in solving elliptic problems with singularities

DOI10.1016/0045-7825(92)90047-NzbMath0762.76057MaRDI QIDQ1205646

S. Singh

Publication date: 1 April 1993

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

error boundsRitz-Galerkin methodMotz's problemmultiple coupling interfacesnonconforming combinationpenalty constantwind over buildings

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items (4)

Combined Trefftz methods of particular and fundamental solutions for corner and crack singularity of linear elastostatics ⋮ The removal of overshoot in P.D.E. solutions by the use of special basis functions ⋮ Mixed types of boundary conditions at corners of linear elastostatics and their numerical solutions ⋮ Corner and crack singularity of different boundary conditions for linear elastostatics and their numerical solutions

Cites Work

• Singularities and constructive methods for their treatment. Proceedings of the Conference held in Oberwolfach, West Germany, November 20-26, 1983
• A nonconforming combined method for solving Laplace's boundary value problems with singularities
• Evaluation of wind effects on model buildings by the random vortex method
• A new kind of combinations between the Ritz-Galerkin and finite element methods for singularity problems
• Boundary penalty techniques
• The use of infinite grid refinements at singularities in the solution of Laplace's equation
• The finite element method for elliptic equations with discontinuous coefficients
• Numerical modelling of wind flow over buildings in two dimensions
• On the Simplified Hybrid-Combined Method
• Boundary Methods for Solving Elliptic Problems with Singularities and Interfaces
• The Finite Element Method with Penalty
• The finite element method in the solution of unbounded potential flows
• The treatment of singularities of partial differential equations by relaxation methods
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