【摘 要】
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In this talk we address two problems that occur in the application of the MFS,concerning the resolution of nonlinear PDE problems and the approximation of d
【机 构】
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CEMAT,InstitutoSuperiorTécnico,UniversidadedeLisboa,1049-001Lisboa,Portugal
【出 处】
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第7届Trefftz工程计算方法(ICTM2015)暨第3届基本解工程应用方法(MFS)
论文部分内容阅读
In this talk we address two problems that occur in the application of the MFS,concerning the resolution of nonlinear PDE problems and the approximation of discontinuous data.In the classical MFS framework this includes the case of nonlinear and discontinuous boundary data.But we will also address nonlinear PDE equations,and inhomogeneous sources,using the MFS extended version applied to domain problems,and not only boundary problems.There are several ways to deal with these difficulties,some of which may consist in splitting the problem in a regular and in a non regular part.In the case of nonlinear problems,this is usually done with a fixed point iterative scheme,and in the case of discontinuities this can be done enriching the MFS basis.However we will also discuss some other possibilities.
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