Solving nonlinear Klein-Gordon equations on unbounded domains via the finite element method

H Lévy, J Bergé, JP Uzan - Physical Review D, 2022 - APS
A large class of scalar-tensor theories of gravity exhibit a screening mechanism that
dynamically suppresses fifth forces in the Solar system and local laboratory experiments …

What to expect from scalar-tensor space geodesy

H Lévy, J Bergé, JP Uzan - Physical Review D, 2024 - APS
Scalar-tensor theories with screening mechanisms come with nonlinearities that make it
difficult to study setups of complex geometry without resorting to numerical simulations. In …

Mapping techniques for isogeometric analysis of elliptic boundary value problems containing singularities

JW Jeong, HS Oh, S Kang, H Kim - Computer Methods in Applied …, 2013 - Elsevier
The Method of Auxiliary Mapping (MAM), introduced by Babuška and Oh [2], is an effective
method for dealing with singularities in elasticity [16]. MAM was extended to boundary …

Weighted-norm first-order system least squares (FOSLS) for problems with corner singularities

E Lee, TA Manteuffel, CR Westphal - SIAM journal on numerical analysis, 2006 - SIAM
A weighted-norm least-squares method is considered for the numerical approximation of
solutions that have singularities at the boundary. While many methods suffer from a global …

The generalized product partition of unity for the meshless methods

HS Oh, WJ Jae, TH Won - Journal of Computational Physics, 2010 - Elsevier
The partition of unity is an essential ingredient for meshless methods named by GFEM,
PUFEM (partition of unity FEM), XFEM (extended FEM), RKPM (reproducing kernel particle …

Elastodynamic infinite elements based on modified Bessel shape functions, applicable in the finite element method

KS Kazakov - Structural engineering and mechanics: An international …, 2012 - dbpia.co.kr
In this paper decay and mapped elastodynamic infinite elements, based on modified Bessel
shape functions and appropriate for Soil-Structure Interaction problems are described and …

Accurate mode-separated energy release rates for delamination cracks

HS Oh - Journal of computational physics, 2004 - Elsevier
Babuška and Oh introduced a new approach, called the method of auxiliary mapping
(MAM), that can effectively handle singularities in the framework of the p-version of the FEM …

[PDF][PDF] Formulation of elastodynamic infinite elements for dynamic soil-structure interaction

K Kazakov - WSEAS Transactions on Applied and Theoretical …, 2011 - wseas.us
The paper is devoted to formulations of decay and mapped elastodynamic infinite elements,
based on modified Bessel shape functions. These elements are for Soil-Structure Interaction …

An adaptively weighted Galerkin finite element method for boundary value problems

Y Sun, C Westphal - … in Applied Mathematics and Computational Science, 2015 - msp.org
We introduce an adaptively weighted Galerkin approach for elliptic problems where diffusion
is dominated by strong convection or reaction terms. In such problems, standard Galerkin …

The weighted finite element method for elasticity equations on unbounded domains

HS Oh, JG Kim, SS Yum - Computer methods in applied mechanics and …, 1998 - Elsevier
By introducing the Weighted Riesz-Galerkin Method with a special weight function, Oh-Jou
[23] made it possible to apply MAM (the Method of Auxiliary Mapping, introduced by …