supported by High-Performance Computing Platform of Peking University;National Science Foundation in China (No.11971041)。
We present an arbitrary order discontinuous Galerkin finite element method for solving the biharmonic interface problem on the unfitted mesh.The approximation space is constructed by a patch reconstruction process wit...
Supported by the National Natural Science Foundation of China(No.10901126 and 11201355)
In this paper,we consider the inequality estimates of the positive solutions for the inhomogeneous biharmonic equation■-△^2u+u^p+f(x)=0 in R^n where △^2 is the biharmonic operator,p>1,n≥5 and 0≡f∈C(R^n)is a give...
the National Natural Science Foundation of China for Distinguished Young Scholars 11425106;National Natural Science Foundation of China Grants 91630313;CAS NCMIS;the National Natural Science Foundation of China Grants 91630313 and 11671312.
We propose a new discontinuous Galerkin method based on the least-squares patch reconstruction for the biharmonic problem. We prove the optimal error estimate of the proposed method. The two-dimensional and three-dime...