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dc.contributor.authorVavasis, Stephen A.en_US
dc.description.abstractWe consider solving an elliptic boundary value problem in the case that the coefficients vary by many orders of magnitude over the domain. A linear finite element method is used. It is shown that the standard method for solving the resulting linear equations in finite-precision arithmetic can give an arbitrarily inaccurate answer because of ill-conditioning in the stiffness matrix. A new method for solving the linear equations is proposed. This method is based on a "mixed formulation" and gives a numerically accurate answer independent of the variation in the coefficients. The numerical error in the solution of the linear system for the new method is shown to depend on the aspect ratio of the triangulation.en_US
dc.format.extent3483658 bytes
dc.format.extent830626 bytes
dc.publisherCornell Universityen_US
dc.subjectcomputer scienceen_US
dc.subjecttechnical reporten_US
dc.titleStable Finite Elements for Problems With Wild Coefficientsen_US
dc.typetechnical reporten_US

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