Some observations on mixed methods for fully nonlinear parabolic problems in divergence form

M. Y. Kim; F. A. Milner; E. J. Park

doi:10.1016/0893-9659(95)00106-9

Some observations on mixed methods for fully nonlinear parabolic problems in divergence form

M. Y. Kim, F. A. Milner, E. J. Park

Department of Computational Science and Engineering

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

Mixed finite element methods are considered to approximate the solution of fully nonlinear second order parabolic problems in divergence form in ℝ^d, d ≤ 3. Existence and uniqueness of the approximation are proved. Optimal order error estimates in L^∞(J; L²(Ω)) and in L^∞ (J; H(div; Ω)) are demonstrated for the relevant variables.

Original language	English
Pages (from-to)	75-81
Number of pages	7
Journal	Applied Mathematics Letters
Volume	9
Issue number	1
DOIs	https://doi.org/10.1016/0893-9659(95)00106-9
Publication status	Published - 1996 Jan

All Science Journal Classification (ASJC) codes

Applied Mathematics

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10.1016/0893-9659(95)00106-9

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abstract = "Mixed finite element methods are considered to approximate the solution of fully nonlinear second order parabolic problems in divergence form in ℝd, d ≤ 3. Existence and uniqueness of the approximation are proved. Optimal order error estimates in L∞(J; L2(Ω)) and in L∞ (J; H(div; Ω)) are demonstrated for the relevant variables.",

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AB - Mixed finite element methods are considered to approximate the solution of fully nonlinear second order parabolic problems in divergence form in ℝd, d ≤ 3. Existence and uniqueness of the approximation are proved. Optimal order error estimates in L∞(J; L2(Ω)) and in L∞ (J; H(div; Ω)) are demonstrated for the relevant variables.

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Some observations on mixed methods for fully nonlinear parabolic problems in divergence form

Abstract

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