Explore the fundamentals of the Finite Element Method (FEM), one of the most powerful computational tools used in engineering ...

THOMAS APEL, JOHANNES PFEFFERER, ARND RÖSCH, FINITE ELEMENT ERROR ESTIMATES ON THE BOUNDARY WITH APPLICATION TO OPTIMAL CONTROL, Mathematics of Computation, Vol. 84, No. 291 (JANUARY 2015), ... This ...

Boundary Element Methods (BEM) have emerged as a robust numerical technique for addressing wave propagation problems across diverse fields such as acoustics, elastodynamics, and electromagnetics.

The book “Boundary Element Methods for Heat Transfer with Phase Change Problems: Theory and Application” covers several boundary element methods, including methods for phase changes, fixed and ...

The element‐free Galerkin (EFG) methods represent a significant progression in numerical analysis, harnessing meshless techniques to overcome challenges associated with conventional meshing.

Beam deflections and boundary conditions. The integrations needed to determine beam deflections require the enforcement of the appropriate displacement and rotation boundary conditions (BCs). It is ...

The first design approach does not guarantee that formation of in-span plastic hinges on horizontal boundary elements (HBE) will be prevented; while the second approach guarantees that plastic hinges ...

Rui Peng, Maolin Zhou, Effects of Large Degenerate Advection and Boundary Conditions on the Principal Eigenvalue and its Eigenfunction of A Linear Second-Order Elliptic Operator, Indiana University ...