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Improving the robustness of the immersed interface method through regularized velocity reconstruction. [PDF]
Sun Q, Kolahdouz EM, Griffith BE.
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ANALYSIS OF A MULTISCALE INTERFACE PROBLEM BASED ON THE COUPLING OF PARTIAL AND ORDINARY DIFFERENTIAL EQUATIONS TO MODEL TISSUE PERFUSION. [PDF]
Bociu L +3 more
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Elliptic Boundary-Value Problems
1992The first two sections of this chapter are devoted to the development of the monotone sequences for elliptic boundary-value problems and to the justification that the limits of the monotone sequences are classical solutions. Various sufficient conditions are given in later sections to ensure the uniqueness and the multiplicity of positive solutions ...
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Elliptic boundary value problems
1998In this chapter we return to the topic of the Introduction, and set about the process of developing a mathematically coherent framework for boundary value problems. Section 8.1 sets the stage by introducing a range of problems involving differential equations; we saw some examples in the Introduction, and here the opportunity is taken to introduce a ...
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Elliptic Boundary Value Problems
1996In Chapters I and II, we presented results that are representative of the large body of theory dealing with singularly perturbed boundary value problems in one space variable. We now move to several space dimensions and encounter technical problems that are much more varied and challenging.
Hans-Görg Roos +2 more
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Elliptic Boundary Value Problems
2001The aim of this chapter is to lay the foundation for the control problems discussed in Chapter 6 where the boundary control plays an essential role. Here first elliptic boundary value problems are treated where particular emphasis is placed on the appropriate flexible treatment of essential non-homogeneous boundary conditions.
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On a Boundary Value Problem for a Nonlocal Elliptic Equation
Journal of Applied Analysis, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fijałkowski, P., Przeradzki, B.
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Elliptic Boundary-Value Problems
2014Chapter 2 is concerned with the construction and the convergence analysis of finite difference schemes for elliptic boundary-value problems. One of the key contributions of the chapter is the derivation of optimal-order bounds on the error between the analytical solution and its finite difference approximation for elliptic equations with variable ...
Boško S. Jovanović, Endre Süli
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