A new formula expressing explicitly the derivatives of Bernstein polynomials of any degree and for any order in terms of Bernstein polynomials themselves is proved, and a formula expressing the Bernstein coefficients of the general-order derivative of a
Bhrawy AH, Saker MA, Doha EH
doaj
Stabilizer-free weak Galerkin finite element for linear elastic problems
Linear elastic problem originates from engineering applications such as machinery and aviation.Due to the complexity of differential equation in the linear elastic problem, the analytic solutions of the problem are still unknown.Although the classical ...
XU Yue, CHEN Yumei, XIE Xiaoping
doaj
Weak Galerkin finite element methods for fourth order singular perturbation problems
In this paper, we discuss the construction and analysis of the weak Galerkin (WG) finite element methods for the fourth order singular perturbation problems in two and three dimensions.
WANG Lin, LUO Kun, ZHANG Shi-Quan
doaj
Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods [PDF]
We extend the construction and analysis of the non-overlapping Schwarz preconditioners proposed in Antonietti et al. [Math. Model. Numer. Anal., 41(1):21-54, 2007] and [Math. Model. Numer.
B. AYUSO +6 more
core
Discrete maximum principle for interior penalty discontinuous Galerkin methods
Horváth Tamás, Mincsovics Miklós
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Discontinuous Galerkin methods for nonlinear scalar hyperbolic conservation laws: divided difference estimates and accuracy enhancement. [PDF]
Meng X, Ryan JK.
europepmc +1 more source
High-Speed Precision Machining and Surface Roughness Determination of Freeform Curves Using Galerkin-NURBS Interpolation and Jerk-Limited Trajectory Planning. [PDF]
Garba UH +4 more
europepmc +1 more source
Computational time-dependent acoustic scattering in a rectangular membrane-porous waveguide. [PDF]
Elsadig M, Safdar M, Taha HH, Afzal M.
europepmc +1 more source
WEAK GALERKIN METHODS FOR SECOND ORDER ELLIPTIC INTERFACE PROBLEMS. [PDF]
Mu L, Wang J, Wei G, Ye X, Zhao S.
europepmc +1 more source

