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您的检索式：作者名="R.H.W.Hoppe"
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| 1 | CONVERGENCE OF ADAPTIVE EDGE ELEMENT METHODS FOR THE 3D EDDY CURRENTS EQUATIONS显示文摘我们用一种剩余类型与可变系数为 3D 旋涡水流方程考虑一个适应的边有限元素方法(AEFEM ) 一个 posteriori 错误评估者。由于可变系数的出现,两个都,评估者和某些摆动术语的部件不得不在被适当体积标准照顾的适应循环以内适当地被控制。以精力的减小, discretization 错误并且摆动的标准被显示出的 AEFEM 的集中。数字结果被给说明 AEFEM 的表演。[从作者抽象] | R.H.W.Hoppe J.Schberl | 2009 | Journal of Computational Mathematics2009，27，5： | 5 |
| 2 | daptive Hybridized Interior Penalty Discontinuous Galerkin Methods for H(curl)-Elliptic Problems显示文摘We develop and analyze an adaptive hybridized Interior Penalty Discontinuous Galerkin(IPDG-H)method for H(curl)-elliptic boundary value problems in 2D or 3D arising from a semi-discretization of the eddy currents equations.The method can be derived from a mixed formulation of the given boundary value problem and involves a Lagrange multiplier that is an approximation of the tangential traces of the primal variable on the interfaces of the underlying triangulation of the computational domain.It is shown that the IPDG-H technique can be equivalently formulated and thus implemented as a mortar method.The mesh adaptation is based on a residual-type a posteriori error estimator consisting of element and face residuals.Within a unified framework for adaptive finite element methods,we prove the reliability of the estimator up to a consistency error.The performance of the adaptive symmetric IPDG-H method is documented by numerical results for representative test examples in 2D. | C.Carstensen R.H.W.Hoppe N.Sharma T.Warburton | 2011 | Numerical Mathematics(Theory,Methods and Applications)2011，4，1： | 1 |
| 3 | On Poincare-Friedrichs Type Inequalities for the Broken Sobolev Space W^(2,1)显示文摘We are concerned with the derivation of Poincare-Friedrichs type inequalities in the broken Sobolev space W^(2,1)(Ω;T h)with respect to a geometrically conforming,simplicial triagulation T h of a bounded Lipschitz domainΩin R d,d∈N.Such inequalities are of interest in the numerical analysis of nonconforming finite element discretizations such as C^(0) Discontinuous Galerkin(C^(0)DG)approximations of minimization problems in the Sobolev space W^(2,1)(Ω),or more generally,in the Banach space BV^(2)(Ω)of functions of bounded second order total variation.As an application,we consider a C^(0) DG approximation of a minimization problem in BV^(2)(Ω)which is useful for texture analysis and management in image restoration. | R.H.W.Hoppe | 2021 | Numerical Mathematics(Theory,Methods and Applications)2021，14，1： | 0 |
| 4 | A Review of Unified A Posteriori Finite Element Error Control显示文摘This paper aims at a general guideline to obtain a posteriori error estimates for the finite element error control in computational partial differential equations.In the abstract setting of mixed formulations,a generalised formulation of the corresponding residuals is proposed which then allows for the unified estimation of the respective dual norms.Notably,this can be done with an approach which is applicable in the same way to conforming,nonconforming and mixed discretisations.Subsequently,the unified approach is applied to various model problems.In particular,we consider the Laplace,Stokes,Navier-Lamé,and the semi-discrete eddy current equations. | C.Carstensen M.Eigel R.H.W.Hoppe C.Löbhard | 2012 | Numerical Mathematics(Theory,Methods and Applications)2012，5，4： | 0 |
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