In this paper, a new probabilistic computing mehtod for the first harmonic boundary value problem are obtained by a new way to solve trasfer matrix equations. At last, some numerical examples are given.
In this paper, based on the natural boundary reduction suggested by Feng and Yu,an overlapping domain decomposition method for harmonic boundary value problerns on the unbounded sector domain or the unbounded cracked ...In this paper, based on the natural boundary reduction suggested by Feng and Yu,an overlapping domain decomposition method for harmonic boundary value problerns on the unbounded sector domain or the unbounded cracked domain is discussed. The numerical examples show that this discrete Schwarz iteration is geometric convergent.And the convergence rate of this method is independent of the finite element mesh size,but dependent on the frequency of the exact solution and the overlaPping degree of thesubdomains.展开更多
研究形如div A(x,u(x))=0的A-调和方程,证明了其弱解满足局部Aλr双权Caccioppoli型不等式.其中算子A:Ω×Rn→Rn满足如下条件:对于正常数0<a b<∞,有:1)A(x,h)关于(x,h)∈Ω×Rn是连续的;2)A(x,h)b h p-1;3)〈A(x,h),h〉...研究形如div A(x,u(x))=0的A-调和方程,证明了其弱解满足局部Aλr双权Caccioppoli型不等式.其中算子A:Ω×Rn→Rn满足如下条件:对于正常数0<a b<∞,有:1)A(x,h)关于(x,h)∈Ω×Rn是连续的;2)A(x,h)b h p-1;3)〈A(x,h),h〉a h p;4)A(x,λh)=λp-2λA(x,h).这里x∈Ωa.e,h∈Rn和λ∈R.展开更多
文摘In this paper, a new probabilistic computing mehtod for the first harmonic boundary value problem are obtained by a new way to solve trasfer matrix equations. At last, some numerical examples are given.
文摘In this paper, based on the natural boundary reduction suggested by Feng and Yu,an overlapping domain decomposition method for harmonic boundary value problerns on the unbounded sector domain or the unbounded cracked domain is discussed. The numerical examples show that this discrete Schwarz iteration is geometric convergent.And the convergence rate of this method is independent of the finite element mesh size,but dependent on the frequency of the exact solution and the overlaPping degree of thesubdomains.
文摘研究形如div A(x,u(x))=0的A-调和方程,证明了其弱解满足局部Aλr双权Caccioppoli型不等式.其中算子A:Ω×Rn→Rn满足如下条件:对于正常数0<a b<∞,有:1)A(x,h)关于(x,h)∈Ω×Rn是连续的;2)A(x,h)b h p-1;3)〈A(x,h),h〉a h p;4)A(x,λh)=λp-2λA(x,h).这里x∈Ωa.e,h∈Rn和λ∈R.
