[会议论文]Ismael HerreraGraciela S. Herrera2002Computational Methods in Water Resources v.1
摘要：Domain decomposition methods (DDM) have received much attention in recent years, which was originally motivated mainly because they are the most effective ways for devising parallel algorithms that
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2.The algebraic theory approach for ordinary differential equations: Highly accurate finite differences
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[期刊论文]Ismael Herrera-《Numerical Methods for Partial Differential Equations》1987年3期
摘要：AbstractThis article reports further developments of Herrera's algebraic theory approach to the numerical treatment of differential equations. A new solution procedure for ordinary differential
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3.Unified theory of Trefftz methods and numerical implications
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[期刊论文]Ismael Herrera-《Computer assisted mechanics and engineering sciences》2003年4期
摘要：In the 1st International Workshop, devoted to Trefftz Method, the author presented an indirect approach to Trefftz Method (Trefftz-Herrera Method), while in the Second one some of the basic ideas of
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4.Unified formulation of numerical methods. I. Green's formulas for operators in discontinuous fields
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[期刊论文]Ismael Herrera-《Numerical Methods for Partial Differential Equations》1985年1期
摘要：AbstractApplying the method of weighted residuals and then interpreting the resulting equations by means of Green's formulas for discontinuous functions, a direct method of analysis is developed. The
摘要：This paper is an extension of previous work by Herrera and Figueroa to multiple leaky aquifers. The equations governing the motion of such systems are transformed to obtain a simpler system suitable
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6.Integrodifferential equations for systems of leaky aquifers and applications: 2. Error analysis of approximate theories
摘要：This paper is the second of a series devoted to developing a method of analysis based on the integrodifferential equations of leaky aquifer systems. In part 1 [Herrera and Rodarte, 1973a] the
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7.Unified approach to numerical methods, part II: Finite elements, boundary methods, and their coupling
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[期刊论文]Ismael Herrera-《Numerical Methods for Partial Differential Equations》1985年3期
摘要：AbstractThis is the second in a series of three papers devoted to the presentation of a direct procedure of analysis of numerical methods for partial differential equations. The procedure consists of
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8.Solution of general ordinary differential equations using the algebraic theory approach
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[期刊论文]Michael CeliaIsmael Herrera-《Numerical Methods for Partial Differential Equations》1987年2期
摘要：AbstractThe algebraic theory for numerical methods, as developed by Herrera [3–7], provides a broad theoretical framework for the development and analysis of numerical approximations. To this point,
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9.The Gauss Theorem for Domain Decompositions in Sobolev Spaces
摘要：This paper belongs to a broad line of research leaded by Herrera, which encompasses a good number of numerical methods such as Localized Adjoint Method (LAM), Eulerian-Lagrangian LAM (ELAM) and
Linear differential operatorformal adjointconcomitantmanifold with cornersSobolev spacetracesdomain decompositionGauss theoremGreen formula35A1535G1565N5
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10.Integrodifferential equations for systems of leaky aquifers and applications: 1. The nature of approximate theories
摘要：The dynamics of leaky aquifers are governed by a system of integrodifferential equations derived in this paper. Alternative expressions for the memory functions are obtained, and it is shown that
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11.Numerical treatment of leaky aquifers in the short time range
摘要：The numerical treatment of leaky aquifers in the short time range is complicated because it requires the use of very refined meshes. This range of time includes not only pumping tests but also many
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12.Integrodifferential equations for systems of leaky aquifers and applications 3. A numerical method of unlimited applicability
摘要：The integrodifferential equation formulation of leaky aquifer mechanics is used to develop a numerical method of unlimited applicability based on the finite element technique. This approach reduces
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13.Unified formulation of enhanced oil-recovery methods
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[期刊论文]Ismael HerreraGraciela S. Hen-era-《Geofisica internacional》2011年1期
摘要：At present enhanced oil recovery (EOR) techniques are essential for maintaining the oil supplies of the world. In turn, mathematical and computational models of the processes that occur in EOR are
enhanced oil recoverymathematical modelsblack-oil modelcompositional modelnon-isothermal compositional model
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14.Unified formulation of enhanced oil-recovery methods
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[期刊论文]Ismael HerreraGraciela S. Hen-era-《Geofisica internacional》2011年1期
摘要：At present enhanced oil recovery (EOR) techniques are essential for maintaining the oil supplies of the world. In turn, mathematical and computational models of the processes that occur in EOR are
enhanced oil recoverymathematical modelsblack-oil modelcompositional modelnon-isothermal compositional model
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15.A Correspondence Principle for the Theory of Leaky Aquifers
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[期刊论文]Ismael HerreraGermán E. Figueroa V.-《Water Resources Research》1969年4期
摘要：A correspondence principle for leaky aquifers in which the storage in the confining layers is taken into consideration associates a nonleaky aquifer with every leaky aquifer. It is valid for long
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16.Collocation methods: More efficient procedures for applying collocation
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[期刊论文]Ismael HerreraRobert YatesErnesto Rubio-《Advances in engineering software》2007年10期
摘要：In recent years, new and more effective procedures for applying collocation have been published. This article is devoted to present a revision of this subject and complement its developments. From
17.Unified approach to numerical methods. III. Finite differences and ordinary differential equations
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[期刊论文]Ismael HerreraLucia ChargoyGonzalo Alduncin-《Numerical Methods for Partial Differential Equations》1985年4期
摘要：AbstractThis is the third of a sequence of articles devoted to the presentation of a direct method of analysis recently developed by one of the authors. The approach is quite general, since it is
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18.A brief overview of non-overlapping domain decomposition methods
摘要：An overview of non-overlapping domain decomposition methods is presented. The most efficient methods that exist at present, BDDC and FETI-DP, are placed in a 'primal' framework (the 'derived-vectors
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