A numerical verification method for solutions of nonlinear parabolic problems
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MI: Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス・フォア・インダストリ教育研究拠点」By using the finite element approximation and constructive a priori error estimates, a new formulation for proving the existence of solutions for nonlinear parabolic problems is presented. We present a method to estimate the norm of the linearized inverse operator for concerned nonlinear problem. Then we formulate a verification principle for solutions by using the Newton-type operator incorporating with Schauder's fixed point theorem.
- Faculty of Mathematics, Kyushu University,九州大学大学院数理学研究院の論文
- 2009-04-08
Faculty of Mathematics, Kyushu University,九州大学大学院数理学研究院 | 論文
- A numerical verification method for solutions of nonlinear parabolic problems
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