A difference method for a nonlinear system of elliptic equations with mixed derivatives
Z. Kowalski (1980)
Annales Polonici Mathematici
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Displaying similar documents to “On finite difference schemes of high order accuracy for elliptic equations with mixed derivatives”
A difference method for a nonlinear system of elliptic equations with mixed derivatives
The difference method for non-linear elliptic differential equations with mixed derivatives
Jacek Kaczmarczyk (1983)
Annales Polonici Mathematici
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The L.P.D.E.M., a mixed finite difference method for elliptic problems.
M. Jai, G. Bayada, M. Chambat (1992)
Numerische Mathematik
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Solution of elliptic difference mixed problem
D. Radunović (1991)
Matematički Vesnik
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Superconvergence of mixed finite element semi-discretizations of two time-dependent problems
Jan Brandts (1999)
Applications of Mathematics
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We will show that some of the superconvergence properties for the mixed finite element method for elliptic problems are preserved in the mixed semi-discretizations for a diffusion equation and for a Maxwell equation in two space dimensions. With the help of mixed elliptic projection we will present estimates global and pointwise in time. The results for the Maxwell equations form an extension of existing results. For both problems, our results imply that post-processing and a posteriori...
Error estimates for partial differential equations
Olof B. Widlund (1968)
Aplikace matematiky
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On the comparison of error bounds for finite difference schemes.
H. Esser, R.J. Nessel, B. Büttgenbach (1993)
Numerische Mathematik
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A second-order finite volume element method on quadrilateral meshes for elliptic equations
Min Yang (2007)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper, by use of affine biquadratic elements, we construct and analyze a finite volume element scheme for elliptic equations on quadrilateral meshes. The scheme is shown to be of second-order in -norm, provided that each quadrilateral in partition is almost a parallelogram. Numerical experiments are presented to confirm the usefulness and efficiency of the method.