منابع مشابه
The effect of numerical integration in nonmonotone nonlinear elliptic problems with application to numerical homogenization methods
A finite element method with numerical quadrature is considered for the solution of a class of second-order quasilinear elliptic problems of nonmonotone type. Optimal a priori error estimates for the H and the L norms are derived. The uniqueness of the finite element solution is established for a sufficiently fine mesh. Application to numerical homogenization methods is considered.
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Fredholm integral equations arise naturally in the context of ordinary and partial differential equations: Two-point boundary value problems can be reformulated as Fredholm integral equations, whose kernels are continuous but have finite jump discontinuities in their derivatives. Two-dimensional elliptic boundary problems can be reformulated as Fredholm integral equations with kernels that have...
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ژورنال
عنوان ژورنال: International Astronomical Union Colloquium
سال: 1993
ISSN: 0252-9211
DOI: 10.1017/s0252921100066276