| Description |
1 online resource (320 p.) |
| Contents |
Cover -- Title Page -- Copyright Page -- Contents -- Introduction -- Chapter 1. Equations of Electromagnetism -- 1.1. Maxwell's equations -- 1.2. Behavior laws of materials -- 1.2.1. General case -- 1.2.2. Simplified forms -- 1.3. Interface between two media and boundary conditions -- 1.3.1. Continuity conditions between two media -- 1.3.2. Boundary conditions -- 1.4. Integral forms: fundamental theorems -- 1.4.1. Faraday's law -- 1.4.2. Ampère's law -- 1.4.3. Law of conservation of the magnetic flux -- 1.4.4. Gauss' law -- 1.5. Various forms of Maxwell's equations -- 1.5.1. Electrostatics |
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1.5.2. Electrokinetics -- 1.5.3. Magnetostatics -- 1.5.4. Magnetodynamics -- Chapter 2. Function Spaces -- 2.1. Introduction -- 2.2. Spaces of differential operators -- 2.2.1. Definitions -- 2.2.2. Function spaces of grad, curl, div -- 2.2.3. Kernel of vector operators -- 2.2.4. Image spaces of operators -- 2.3. Studied topologies -- 2.3.1. Connected and disconnected domain -- 2.3.2. Simply connected and not simply connected domain -- 2.3.3. Contractible and non-contractible domain -- 2.3.4. Properties of function spaces -- 2.4. Relations between vector subspaces |
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2.4.1. Orthogonality of function spaces -- 2.4.2. Analysis of function subspaces -- 2.4.3. Organization of function spaces -- 2.5. Vector fields defined by a vector operator -- 2.5.1. Infinite number of solutions -- 2.5.2. Gauge conditions -- 2.6. Structure of function spaces -- 2.6.1. Adjoint operators -- 2.6.2. Tonti diagram -- Chapter 3. Maxwell#x81;fs Equations: Potential Formulations -- 3.1. Introduction -- 3.2. Consideration of source terms -- 3.2.1. Global source quantities imposed on the boundaries -- 3.2.2. Source quantities inside the domain |
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3.2.3. Examples of the calculation of support fields -- 3.3. Electrostatics -- 3.3.1. Source terms imposed on the boundary of the domain -- 3.3.2. Internal electrode -- 3.3.3. Tonti diagram -- 3.4. Electrokinetics -- 3.4.1. Elementary geometry -- 3.4.2. Multisource case -- 3.4.3. Tonti diagram -- 3.5. Magnetostatics -- 3.5.1. Studied problems -- 3.5.2. Scalar potential -- 3.5.3. Vector potential A formulation -- 3.5.4. Summarizing tables -- 3.5.5. Tonti diagram -- 3.6. Magnetodynamics -- 3.6.1. Imposed electric quantities -- 3.6.2. Imposed magnetic quantities -- 3.6.3. Summarizing tables |
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3.6.4. Tonti diagram -- Chapter 4. Formulations in the Discrete Domain -- 4.1. Introduction -- 4.2. Weighted residual method: weak form of Maxwell's equations -- 4.2.1. Methodology -- 4.2.2. Weak form of the equations of electrostatics -- 4.2.3. Weak form of the equations of electrokinetics -- 4.2.4. Weak form of the equations of magnetostatics -- 4.2.5. Weak form of the equations of magnetodynamics -- 4.2.6. Synthesis of results -- 4.3. Finite element discretization -- 4.3.1. The need for discretization -- 4.3.2. Approximation functions -- 4.3.3. Discretization of vector operators |
| Notes |
Description based upon print version of record |
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4.3.4. Discretization of physical quantities and associated fields |
| Genre/Form |
Electronic books
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| Form |
Electronic book
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| Author |
Clenet, Stephane
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| ISBN |
9781394276462 |
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139427646X |
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1394276486 |
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9781394276486 |
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