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- W1980450248 abstract "The solution of the Dirichlet problem for a class of quasilinear elliptic equations is approximated by the simplest finite element method. Piecewise linear trial functions are used over a regular triangulation of the n-dimensional domain with simplices of diameter at most h. Under conditions which are sufficient for the existence of a classical solution we prove pointwise error estimates. In the uniformly elliptic case and for the minimal surface problem the finite element solution converges uniformly with a rate which depends on n and the shape of the domain. It is, e.g., at least $h^{{3 / 2}} | {log h} |^{{1 / 2}} $ for $n = 2$ and h for $n = 3$. Numerical results are given for two minimal surfaces." @default.
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- W1980450248 date "1977-09-01" @default.
- W1980450248 modified "2023-09-24" @default.
- W1980450248 title "On Pointwise Estimates for a Finite Element Solution of Nonlinear Boundary Value Problems" @default.
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- W1980450248 doi "https://doi.org/10.1137/0714053" @default.
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