LakkisPryer-2011-article-F.pdf (605.37 kB)
A finite element method for second order nonvariational elliptic problems
We propose a numerical method to approximate the solution of second order elliptic problems in nonvariational form. The method is of Galerkin type using conforming finite elements and applied directly to the nonvariational (nondivergence) form of a second order linear elliptic problem. The key tools are an appropriate concept of “finite element Hessian” and a Schur com- plement approach to solving the resulting linear algebra problem. The method is illustrated with computational experiments on three linear and one quasi-linear PDE, all in nonvariational form.
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- Published
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- Published version
Journal
SIAM Journal on Scientific ComputingISSN
1064-8275Publisher
Society for Industrial and Applied MathematicsExternal DOI
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2Volume
33Page range
786-801Department affiliated with
- Mathematics Publications
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- Yes
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- Yes
Legacy Posted Date
2013-09-19First Open Access (FOA) Date
2013-09-19First Compliant Deposit (FCD) Date
2013-09-18Usage metrics
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