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JSCIC
2016
52views more  JSCIC 2016»
8 years 22 days ago
To CG or to HDG: A Comparative Study in 3D
Since the inception of discontinuous Galerkin (DG) methods for elliptic problems, there has existed a question of whether DG methods can be made more computationally efficient tha...
Sergey Yakovlev, David Moxey, Robert M. Kirby, Spe...
JSCIC
2016
41views more  JSCIC 2016»
8 years 22 days ago
A Linearly Fourth Order Multirate Runge-Kutta Method with Error Control
Abstract To integrate large systems of locally coupled ordinary differential equations (ODEs) with disparate timescales, we present a multirate method with error control that is b...
Pak-Wing Fok
JSCIC
2016
59views more  JSCIC 2016»
8 years 22 days ago
A Reduced Radial Basis Function Method for Partial Differential Equations on Irregular Domains
We propose and test the first Reduced Radial Basis Function Method (R2 BFM) for solving parametric partial differential equations on irregular domains. The two major ingredients ...
Yanlai Chen, Sigal Gottlieb, Alfa R. H. Heryudono,...
JSCIC
2016
64views more  JSCIC 2016»
8 years 22 days ago
Unconditional Optimal Error Estimates of BDF-Galerkin FEMs for Nonlinear Thermistor Equations
In this paper we study linearized backward differential formula (BDF) type schemes with Galerkin finite element approximations for the time-dependent nonlinear thermistor equation...
Huadong Gao
JSCIC
2016
46views more  JSCIC 2016»
8 years 22 days ago
On the Global and Linear Convergence of the Generalized Alternating Direction Method of Multipliers
The formulation min x,y f(x) + g(y), subject to Ax + By = b, where f and g are extended-value convex functions, arises in many application areas such as signal processing, imaging ...
Wei Deng, Wotao Yin
JSCIC
2016
44views more  JSCIC 2016»
8 years 22 days ago
Trace-Penalty Minimization for Large-Scale Eigenspace Computation
Zaiwen Wen, Chao Yang, Xin Liu 0001, Yin Zhang
JSCIC
2016
46views more  JSCIC 2016»
8 years 22 days ago
On the Proximal Jacobian Decomposition of ALM for Multiple-Block Separable Convex Minimization Problems and Its Relationship to
The augmented Lagrangian method (ALM) is a benchmark for solving convex minimization problems with linear constraints. When the objective function of the model under consideration ...
Bingsheng He, Hong-Kun Xu, Xiaoming Yuan
JSCIC
2016
48views more  JSCIC 2016»
8 years 22 days ago
Numerical Solutions for Weakly Singular Volterra Integral Equations Using Chebyshev and Legendre Pseudo-Spectral Galerkin Method
In this paper we present and analyze Chebyshev and Legendre pseudo-spectral methods for the second kind Volterra integral equations with weakly singular kernel
Xianjuan Li, Tao Tang, Chuanju Xu