Results 11 to 20 of about 498 (168)

Local Discontinuous Galerkin methods for fractional diffusion equations [PDF]

ESAIM: Mathematical Modelling and Numerical Analysis, 2013
We consider the development and analysis of local discontinuous Galerkin methods for fractional diffusion problems in one space dimension, characterized by having fractional derivatives, parameterized by beta in [1,2]. After demonstrating that a classic approach fails to deliver optimal order of convergence, we introduce a modified local numerical flux
Deng, Weihua, Hesthaven, Jan S.
openaire   +2 more sources

Optimal error estimates of the local discontinuous Galerkin methods based on generalized fluxes for 1D linear fifth order partial differential equations

Journal of Inequalities and Applications, 2022
In this paper, we study the error estimates of local discontinuous Galerkin methods based on the generalized numerical fluxes for the one-dimensional linear fifth order partial differential equations.
Hui Bi, Yixin Chen
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An h-Adaptive Poly-Sinc-Based Local Discontinuous Galerkin Method for Elliptic Partial Differential Equations

Axioms, 2023
For the purpose of solving elliptic partial differential equations, we suggest a new approach using an h-adaptive local discontinuous Galerkin approximation based on Sinc points.
Omar A. Khalil, Gerd Baumann
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Generalized Multiscale Finite Element Method for Elastic Wave Propagation in the Frequency Domain

Computation, 2020
In this work, we consider elastic wave propagation in fractured media. The mathematical model is described by the Helmholtz problem related to wave propagation with specific interface conditions (Linear Slip Model, LSM) on the fracture in the frequency ...
Uygulana Gavrilieva, Maria Vasilyeva, Eric T. Chung   +2 more
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Numerical analysis of an implicit fully discrete local discontinuous Galerkin method for the fractional Zakharov–Kuznetsov equation

Mathematical Modelling and Analysis, 2012
In this paper we develop and analyze an implicit fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional Zakharov–Kuznetsov equation.
Zongxiu Ren, Leilei Wei, Yinnian He, Shaoli Wang   +3 more
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Using a LDG method for solving an inverse source problem of the time-fractional diffusion equation [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2017
In this paper, we apply a local discontinuous Galerkin (LDG) method to solve some fractional inverse problems. In fact, we determine a timedependent source term in an inverse problem of the time-fractional diffusion equation.
Somayeh Yeganeh, Reza Mokhtari, Somayeh Fouladi   +2 more
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Well-Balanced High-Order Discontinuous Galerkin Methods for Systems of Balance Laws

Mathematics, 2021
This work introduces a general strategy to develop well-balanced high-order Discontinuous Galerkin (DG) numerical schemes for systems of balance laws.
Ernesto Guerrero Fernández, Cipriano Escalante, Manuel J. Castro Díaz   +2 more
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Slate: extending Firedrake's domain-specific abstraction to hybridized solvers for geoscience and beyond [PDF]

Geoscientific Model Development, 2020
Within the finite element community, discontinuous Galerkin (DG) and mixed finite element methods have become increasingly popular in simulating geophysical flows.
T. H. Gibson, L. Mitchell, D. A. Ham, C. J. Cotter   +3 more
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Fully Discrete Local Discontinuous Galerkin Approximation for Time-Space Fractional Subdiffusion/Superdiffusion Equations

Advances in Mathematical Physics, 2017
We focus on developing the finite difference (i.e., backward Euler difference or second-order central difference)/local discontinuous Galerkin finite element mixed method to construct and analyze a kind of efficient, accurate, flexible, numerical schemes
Meilan Qiu, Liquan Mei, Dewang Li
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A Discretization Approach for the Nonlinear Fractional Logistic Equation

Entropy, 2020
The present study aimed to develop and investigate the local discontinuous Galerkin method for the numerical solution of the fractional logistic differential equation, occurring in many biological and social science phenomena.
Mohammad Izadi, Hari M. Srivastava
doaj   +1 more source