In this paper, space-time discontinuous Galerkin finite element method for distributed optimal control problems governed by unsteady diffusion-convectionreaction equation without control constraints is studied. Time discretization is performed by discontinuous Galerkin method with piecewise constant and linear polynomials, while symmetric interior penalty Galerkin with upwinding is used for spa...

We consider the a priori error analysis of hp-version interior penalty discontinuous Galerkin methods for second–order partial differential equations with nonnegative characteristic form under weak assumptions on the mesh design and the local finite element spaces employed. In particular, we prove a priori hp-error bounds for linear target functionals of the solution, on (possibly) anisotropic ...

The Maxwell equations in the magnetohydrodynamic (MHD) limit in heterogeneous domains composed of conducting and non-conducting regions are solved by using Lagrange finite elements and by enforcing continuities across interfaces using an Interior Penalty technique à la Baker [Finite element methods for elliptic equations using non-conforming elements, Math. Comp. 31 (137) (1977) 45–59]. The met...

By using the finite element $p$-Version in convection-diffusion problems, we can attain to a stabilized and accurate results. Furthermore, the fundamental of the finite element $p$-Version is augmentation degrees of freedom. Based on the fact that the finite element and the meshless methods have similar concept, it is obvious that many ideas in the finite element can be easily used in the meshl...

We present a nonconforming Finite Element (FE) formulation for the electro-quasistatic case. The allows grid generation each sub-domain individually. At interfaces, we apply Nitsche-type mortaring, which can also be interpreted as DG-IP (Discontinuous Galerkin-Internal Penalty) formulation. Thereby, continuity of electric potential and flux in discrete setting is guaranteed. system matrix remai...

Finite element model correction of quadratic eigenvalue problems (QEPs) using a symmetric eigenstructure assignment technique was proposed by Zimmerman and Widengren (Zimmerman, D., and Widengren, M., “Correcting Finite Element Models Using a Symmetric Eigenstructure Assignment Technique,” AIAA Journal, Vol. 28, No. 9, 1990, pp. 1670–1676) and incorporates the measured model data into the finit...

this research work is devoted to the development of a mathematical model for the simulation of the flow of polymeric melts through the die region of extruders. a set of governing equations are solved using finite element method. standard galerkin technique is used in conjunction with the mixed scheme to solve the flow equation. due to the non-linear nature of global equations, the picard iterat...

modelling of crack propagation by finite element method under mixed mode conditions is of prime importance in fracture mechanics. this paper describes an application of finite element method to the analysis of mixed mode crack growth in linear elastic fracture mechanics. crack growth process is simulated by an incremental crack-extension analysis based on the maximum principal stress criterion,...

In this paper we conduct a priori and posteriori error analysis of the C0 interior penalty method for Hamilton–Jacobi–Bellman equations, with coefficients that satisfy Cordes condition. These estimates show quasi-optimality method, provide one an adaptive finite element method. accordance proven regularity theory, only assume solution equation belongs to H2.