Optimal convergence rates in L² for a first order system least squares finite element method [PDF]
, 2023 We analyze a divergence based first order system least squares method applied to a second order elliptic model problem with homogeneous boundary conditions. We prove optimal convergence in the L²(Ω) norm for the scalar variable. Numerical results confirm
Melenk, Jens Markus; orcid: +1 more
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Multilevel first-order system least squares for elliptic grid generation [PDF]
, 2003 A new fully variational approach is studied for elliptic grid generation (EGG). It is based on a general algorithm developed in a companion paper [A. L. Codd, T. A. Manteuffel, and S. F. McCormick, SIAM J. Numer. Anal., 41 (2003), pp.
Ruge, J. W +3 more
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A first order system model of fracture healing. [PDF]
J Zhejiang Univ Sci B, 2005 Wang XP, Zhang XL, Li ZG, Yu XG.
europepmc +2 more sources
Multilevel first-order system least squares for nonlinear elliptic partial differential equations [PDF]
, 2003 A fully variational approach is developed for solving nonlinear elliptic equations that enables accurate discretization and fast solution methods. The equations are converted to a first-order system that is then linearized via Newton's method.
Manteuffel, T. A. +2 more
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Positive Solutions for System of First-Order Dynamic Equations
Discrete Dynamics in Nature and Society, 2010 We study the existence of positive solutions to the system of nonlinear first-order periodic boundary value problems on time scales xΔ(t)+P(t)x(σ(t))=F(t,x(σ(t))), t∈[0,T]T, x(0)=x(σ(T)), by using a well-known fixed point theorem in cones.
Da-Bin Wang, Jian-Ping Sun, Xiao-Jun Li
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Solvability Conditions For A system Of Nonhomogenous Differntial Equations Of The First Order [PDF]
مجلة التربية والعلم, 2008 In this paper we study the solvability conditions for a system of Nonhomogenous ordinary differential equations of the first order with boundary conditions by using the method which is given by [3,4].
AKRAM MAHMOOD +2 more
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On a first-order differential system with initial and nonlocal boundary conditions
Demonstratio Mathematica, 2022 This paper is devoted to the existence of solutions and the multiplicity of positive solutions of an initial-boundary value problem for a nonlinear first-order differential system with nonlocal conditions.
Ngoc Le Thi Phuong, Long Nguyen Thanh
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Solutions to a first order hyperbolic system [PDF]
Surveys in Mathematics and its Applications, 2018 The study of small perturbations in the shock initiation of an inviscid compressible fluid with chemical reaction leads to a first order hyperbolic system of two equations.
Nezam Iraniparast
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Improved Stability Criteria for Time-Varying Delay System Using Second and First Order Polynomials
IEEE Access, 2020 This article concerns the problem of stability analysis of systems with time-varying delay. Recent developments in this direction involves approximation of a second order polynomial function of time-delay.
Sharat Chandra Mahto +5 more
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Bifurcation for a class of piecewise cubic systems with two centers
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper, a class of symmetric cubic planar piecewise polynomial systems are presented, which have two symmetric centers corresponding to two period annuli.
Guilin Ji, Yangjian Sun
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