Add to ORKGAbstract. Completely discrete numerical methods for a nonlinear elliptic-parabolic system, the time-dependent Joule heating problem, are introduced and analyzed. The equations are discretized in space by a standard finite element method, and in time by combinations of rational implicit and explicit multistep schemes. The schemes are linearly implicit in the sense that they require, at each time level, the solution of linear systems of equations. Optimal order error estimates are proved under the assumption of sufficiently regular solutions
The stationary Joule heating problem is a crucial multiphysical problem for many microelectromechani...
AbstractThe heat equation is but one example of problems which involve multiple scales. There is a l...
This paper introduces a set of new fully explicit numerical algorithms to solve the spatially discre...
Completely discrete numerical methods for a nonlinear elliptic-parabolic system, the time-dependent ...
In this paper, we use the alternating direction method for isogeometric finite elements to simulate ...
Abstract. In this paper we present a finite element discretization of the Joule-heating problem. We ...
We consider a system of equations that model the temperature, electric potential and deformation of ...
We prove strong convergence for a large class of finite element methods for the time-dependent Joule...
We consider a time-stepping scheme of Crank-Nicolson type for the heat equation on a moving domain i...
summary:Finite element methods with piecewise polynomial spaces in space for solving the nonstationa...
Abstract. In this paper, we consider the constructive a priori error estimates for a full discrete n...
We study space–time finite element methods for semilinear parabolic problems in (1 + d)–dimensions f...
A method of reducing the number of degrees of freedom and the overall computing time by combining pr...
A new generalization of the flux-corrected transport (FCT) methodology to implicit finite element di...
The studied nonlinear problem describes the heat conduction in nonhomogeneous and anisotropic media ...
The stationary Joule heating problem is a crucial multiphysical problem for many microelectromechani...
AbstractThe heat equation is but one example of problems which involve multiple scales. There is a l...
This paper introduces a set of new fully explicit numerical algorithms to solve the spatially discre...
Completely discrete numerical methods for a nonlinear elliptic-parabolic system, the time-dependent ...
In this paper, we use the alternating direction method for isogeometric finite elements to simulate ...
Abstract. In this paper we present a finite element discretization of the Joule-heating problem. We ...
We consider a system of equations that model the temperature, electric potential and deformation of ...
We prove strong convergence for a large class of finite element methods for the time-dependent Joule...
We consider a time-stepping scheme of Crank-Nicolson type for the heat equation on a moving domain i...
summary:Finite element methods with piecewise polynomial spaces in space for solving the nonstationa...
Abstract. In this paper, we consider the constructive a priori error estimates for a full discrete n...
We study space–time finite element methods for semilinear parabolic problems in (1 + d)–dimensions f...
A method of reducing the number of degrees of freedom and the overall computing time by combining pr...
A new generalization of the flux-corrected transport (FCT) methodology to implicit finite element di...
The studied nonlinear problem describes the heat conduction in nonhomogeneous and anisotropic media ...
The stationary Joule heating problem is a crucial multiphysical problem for many microelectromechani...
AbstractThe heat equation is but one example of problems which involve multiple scales. There is a l...
This paper introduces a set of new fully explicit numerical algorithms to solve the spatially discre...