The limitations of the patch test
Copyright policy )The limitations of the patch test
AbstractA simple approximation by nonconforming finite elements is presented that passes the patch test of Irons and Strang but does not yield approximate solutions converging to the solution of the given boundary value problem. It is constructed from continuous piecewise linear functions perturbed by step functions. Further, strange convergence properties of such approximations are explained in all details because they may be typical for the behaviour of nonconforming finite elements violating the basic precondition for convergence.
- Goethe University Frankfurt Germany
Numerical solution of boundary value problems involving ordinary differential equations, nonconforming finite element, Boundary value problems for second-order elliptic equations, strange convergence properties, Linear boundary value problems for ordinary differential equations, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, patch test
Numerical solution of boundary value problems involving ordinary differential equations, nonconforming finite element, Boundary value problems for second-order elliptic equations, strange convergence properties, Linear boundary value problems for ordinary differential equations, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, patch test
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