复杂区域上粘性/非粘性耦合方程的一个谱元方法

A Spectral Element Method of the Viscous/Inviscid Coupled Equations in Complex Geometries

分析粘性 /非粘性耦合问题的一个谱元法 .通过基于谱元法的区域分解技巧 ,构造并分析了复杂区域中粘性 /非粘性耦合问题的一个高阶算法 .通过整体变分方法并借助推广了的Lax Milgram鞍点理论 ,证明了离散解的存在唯一性 .

A high order algorithm of the viscous/inviscid coupled equations in complex geometries is analyzed through domain decomposition based on the spectral element method. By applying global variational formulation and the generalized Lax Milgram saddle point theory, it is proven that the discrete problem is well posed.