An adaptive finite element method for semilinear parabolic interface problems with nonzero flux jump
作者： Tanushree Ray , Rajen Kumar Sinha
DOI: 10.1016/J.APNUM.2020.03.001
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摘要: Abstract We present and analyze an adaptive finite element method for a semilinear parabolic interface problem subject to nonzero flux jump in two-dimensional bounded convex polygonal domain. The residual-based posteriori error estimates are derived using energy argument. Our strategy is avoid solving the nonlinear system by considering linearized fully discrete scheme. An algorithm constructed estimators. A global upper bound which residual interior residual, whereas local lower terms of space indicator established. theory presented complemented numerical experiments illustrate proposed algorithm.
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