light-weight and high strength alloys such as al-mg alloys are used in order to reduce the weight of industrial components. however these materials should be formed at elevated temperatures due to their poor formability at room temperature. hot metal gas forming is one of the high-tech forming processes that is used to solve this problem. recent investigation on tube hydroforming showed positiv...

the use of structural adhesives in automotive structures has been increased recently for their role in noise, vibration and harshness (nvh). therefore, the dynamic behavior of structures containing bonded joints has become an area with numerous investigations over the past decades. development of accurate formulations capable of representing adhesively bonded joint dynamics is a step forward in...

the finite element method (fem) is one of advanced methods in modeling of solid mechanics used in the design and analyzing of prosthesis in the human body. one of the important factors in designing a femur (the linkage between basin and knee) which is under complicated stresses is to minimize the amount of the stress in the components of the prosthesis due to the body weight. in this research t...

This paper analyzes the h × p version of the finite element method for optimal control problems constrained by elliptic partial differential equations with random inputs. The main result is that the h × p error bound for the control problems subject to stochastic partial differential equations leads to an exponential rate of convergence with respect to p as for the corresponding direct problems...

Compatible discretizations transform partial differential equations to discrete algebraic problems that mimic fundamental properties of the continuum equations. We provide a common framework for mimetic discretizations using algebraic topology to guide our analysis. The framework and all attendant discrete structures are put together by using two basic mappings between differential forms and co...

Computational modelling has received significant attention in the research community over the past few decades due to its pronounced contribution in better understanding of the nature, as well as in the development of advanced technologies. The modelling of more and more complex transport physical systems helps the community to address important issues, like identification of environmental prob...

In this manuscript we present a p-th degree immersed finite element method for solving boundary value problems with discontinuous coefficients. In this method, interface jump conditions are employed in the finite element basis functions, and the mesh does not have to be aligned with coefficient discontinuity. We show that under h refinement the immersed finite element solution converges to the ...

The boundary concentrated finite element method is a variant of the hp-version of the finite element method that is particularly suited for the numerical treatment of elliptic boundary value problems with smooth coefficients and low regularity boundary conditions. For this method we present two multilevel preconditioners that lead to preconditioned stiffness matrices with condition numbers that...